ScalarAdvectionArtDiff Class Reference

#include <ScalarAdvectionArtDiff.h>

Inheritance diagram for ScalarAdvectionArtDiff:

Public Member Functions
	ScalarAdvectionArtDiff (const InputParameters &parameters)
virtual	~ScalarAdvectionArtDiff ()
Public Member Functions inherited from ScalarTransportBase
	ScalarTransportBase (const InputParameters &parameters)
virtual Real	computeConcentration (const VariableValue &u, unsigned int qp)
	Computes \(c\).
virtual RealVectorValue	computeConcentrationGradient (const VariableValue &u, const VariableGradient &grad_u, unsigned int qp)
	Computes \(\nabla c\).
virtual Real	computeConcentrationDerivative (const VariableValue &u, const VariablePhiValue &phi, unsigned int j, unsigned int qp)
	Computes \(\frac{\partial c}{\partial u_j}\).
virtual RealVectorValue	computeConcentrationGradientDerivative (const VariableValue &u, const VariableGradient &grad_u, const VariablePhiValue &phi, const VariablePhiGradient &grad_phi, unsigned int j, unsigned int qp)
	Computes \(\nabla \frac{\partial c}{\partial u_j}\).
virtual Real	computeConcentrationDot (const VariableValue &u, const VariableValue &u_dot, unsigned int qp)
	Computes \(\frac{\partial c}{\partial t}\).
virtual Real	computeConcentrationDotDerivative (const VariableValue &u, const VariableValue &u_dot, const VariableValue &du_dot_du, const VariablePhiValue &phi, unsigned int j, unsigned int qp)
	Computes \(\frac{\partial}{\partial t} \frac{\partial c}{\partial u_j}\).

Static Public Member Functions
static InputParameters	validParams ()
Static Public Member Functions inherited from ScalarTransportBase
static InputParameters	validParams ()

Protected Member Functions
virtual Real	tau ()
virtual Real	computeQpResidual () override
virtual Real	computeQpJacobian () override
virtual Real	computeQpOffDiagJacobian (unsigned jvar) override

Protected Attributes
Real	_scale
const VariableValue &	_u_vel
const VariableValue &	_v_vel
const VariableValue &	_w_vel
unsigned	_u_vel_var_number
unsigned	_v_vel_var_number
unsigned	_w_vel_var_number
VariableValue	_u_def
VariableValue	_v_def
VariableValue	_w_def
const MaterialProperty< Real > &	_D
Real	_conc_scaling
const Real &	_current_elem_volume

Detailed Description

This class computes the residual and Jacobian contributions for the artificial diffusion term:

\[ D' = \tau \frac{|u| l_e}{2}, \]

where

\[ \tau = \frac{1}{\tanh (\gamma)} - \frac{1}{\gamma} \]

and

\[ \gamma = \frac{|u| \Delta x}{2 D}. \]

Ref: E. Onate & M. Manzan, 2000, "Stabilization Techniques for Finite Element Analysis of Convection-Diffusion Problems".

Constructor & Destructor Documentation

ScalarAdvectionArtDiff()

ScalarAdvectionArtDiff::ScalarAdvectionArtDiff

(

const InputParameters &

parameters

)

~ScalarAdvectionArtDiff()

virtual ScalarAdvectionArtDiff::~ScalarAdvectionArtDiff ( )

inlinevirtual

Member Function Documentation

computeQpJacobian()

Real ScalarAdvectionArtDiff::computeQpJacobian ( )

overrideprotectedvirtual

computeQpOffDiagJacobian()

Real ScalarAdvectionArtDiff::computeQpOffDiagJacobian ( unsigned jvar )

overrideprotectedvirtual

computeQpResidual()

Real ScalarAdvectionArtDiff::computeQpResidual ( )

overrideprotectedvirtual

tau()

Real ScalarAdvectionArtDiff::tau ( )

protectedvirtual

validParams()

InputParameters ScalarAdvectionArtDiff::validParams ( )

static

Member Data Documentation

_conc_scaling

Real ScalarAdvectionArtDiff::_conc_scaling

protected

_current_elem_volume

const Real& ScalarAdvectionArtDiff::_current_elem_volume

protected

_D

const MaterialProperty<Real>& ScalarAdvectionArtDiff::_D

protected

_scale

Real ScalarAdvectionArtDiff::_scale

protected

_u_def

VariableValue ScalarAdvectionArtDiff::_u_def

protected

_u_vel

const VariableValue& ScalarAdvectionArtDiff::_u_vel

protected

_u_vel_var_number

unsigned ScalarAdvectionArtDiff::_u_vel_var_number

protected

_v_def

VariableValue ScalarAdvectionArtDiff::_v_def

protected

_v_vel

const VariableValue& ScalarAdvectionArtDiff::_v_vel

protected

_v_vel_var_number

unsigned ScalarAdvectionArtDiff::_v_vel_var_number

protected

_w_def

VariableValue ScalarAdvectionArtDiff::_w_def

protected

_w_vel

const VariableValue& ScalarAdvectionArtDiff::_w_vel

protected

_w_vel_var_number

unsigned ScalarAdvectionArtDiff::_w_vel_var_number

protected

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The documentation for this class was generated from the following files:

• include/kernels/ScalarAdvectionArtDiff.h
• src/kernels/ScalarAdvectionArtDiff.C